Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 10 - Section 10.3 - Polar Coordinates - 10.3 Exercises - Page 666: 16


$x=4$ This is a straight line with $x$-intercept 4.

Work Step by Step

$r=4sec\theta$ Since, $sec\theta=\frac{1}{cos \theta}$ $rcos \theta=4sec\theta\times cos \theta$ $rcos \theta=4$ To convert polar equation to Cartesian coordinates, we use the equations $rcos \theta=x$ and $rsin \theta=y$ Thus, $x=4$ This is a straight line with $x$-intercept 4.
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